Pith Number

pith:CVZZWADH

pith:2010:CVZZWADHG6SAKPWGDANZKXELOY

not attested not anchored not stored refs pending

On non-local variational problems with lack of compactness related to non-linear optics

Dirk Hundertmark, Young-Ran Lee

arxiv:1008.4631 v1 · 2010-08-27 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CVZZWADHG6SAKPWGDANZKXELOY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:05:42.186365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15739b006737a4053ec6181b955c8b76072a176a963614cfcc00fecf9593e4c6

Aliases

arxiv: 1008.4631 · arxiv_version: 1008.4631v1 · doi: 10.48550/arxiv.1008.4631 · pith_short_12: CVZZWADHG6SA · pith_short_16: CVZZWADHG6SAKPWG · pith_short_8: CVZZWADH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CVZZWADHG6SAKPWGDANZKXELOY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 15739b006737a4053ec6181b955c8b76072a176a963614cfcc00fecf9593e4c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da81f49723f2ad111db3266193e4ad692062aa2f8448c1236b4679789ed211a4",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-08-27T02:09:40Z",
    "title_canon_sha256": "0ff9166c79de0f6b62c0cd9df758023092d972f94f43b8f3d6cbff3d17cdf908"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4631",
    "kind": "arxiv",
    "version": 1
  }
}